yes... they eventually wear out over time and use... how much use (and what type) will dictate how long it will last.
I will tell you from personal experience, DO NOT GO CHEAP ( I mean money-wise which= QUALITY).
I bought a cheap Chinese made chain that started whining from the day installed and I didn't like it at all... after only 500 miles, I have marred gears which were otherwise perfect and this is what I found on the NEW chain...
If you look beyond the wear and pits on this NEW chain, you will notice the links do not line up well at all.... DON'T GO CHEAP!!!
Stick with Dana-Spicer or Morse